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Suppose that the search for key k in a binary search tree ends in a leaf. Consider three sets: A, the keys to the left of the search path; B, the keys on the search path; and C, the keys to the right of the search path. Give a counterexample to the claim that any three keys a € A, b e B, and c e C

Suppose that the search for key k in a binary search tree ends in a leaf. Consider three sets: A, the keys to the left of the search path; B, the keys on the search path; and C, the keys to the right of the search path. Give a counterexample to the claim that any three keys a € A, b e B, and c e C

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Suppose that the search for key k in a binary search tree ends in a leaf. Consider three sets: A, the keys to the left of the search path; B, the keys on the search path; and C, the keys to the right of the search path. Give a counterexample to the claim that any three keys \( a \in A \), \( b \in B \), and \( c \in C \) must satisfy \( a \leq b \leq c \).
Transcribed Image Text:Suppose that the search for key k in a binary search tree ends in a leaf. Consider three sets: A, the keys to the left of the search path; B, the keys on the search path; and C, the keys to the right of the search path. Give a counterexample to the claim that any three keys \( a \in A \), \( b \in B \), and \( c \in C \) must satisfy \( a \leq b \leq c \).
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